3661132272 has 160 divisors (see below), whose sum is σ = 11334131712. Its totient is φ = 995672832.

The previous prime is 3661132261. The next prime is 3661132283. The reversal of 3661132272 is 2722311663.

3661132272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3661132261) and next prime (3661132283).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1753213 + ... + 1755299.

Almost surely, 2^3661132272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661132272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667065856).

3661132272 is an abundant number, since it is smaller than the sum of its proper divisors (7672999440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3661132272 is a wasteful number, since it uses less digits than its factorization.

3661132272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2349 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 3661132272 is about 60507.2910647965. The cubic root of 3661132272 is about 1541.2454466483.

The spelling of 3661132272 in words is "three billion, six hundred sixty-one million, one hundred thirty-two thousand, two hundred seventy-two".